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222996996 = 223319109997
BaseRepresentation
bin11010100101010…
…10101000000100
3120112121102101000
431102222220010
5424041400441
634043333300
75345305005
oct1522525004
9515542330
10222996996
1110496aa42
1262821230
13372798b1
142188b1ac
151489d2b6
hexd4aaa04

222996996 has 96 divisors (see below), whose sum is σ = 614768000. Its totient is φ = 69704064.

The previous prime is 222996989. The next prime is 222996997. The reversal of 222996996 is 699699222.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (222996997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223170 + ... + 224166.

Almost surely, 2222996996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222996996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307384000).

222996996 is an abundant number, since it is smaller than the sum of its proper divisors (391771004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222996996 is a wasteful number, since it uses less digits than its factorization.

222996996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 222996996 is about 14933.0839413699. The cubic root of 222996996 is about 606.4099764732.

It can be divided in two parts, 2229 and 96996, that added together give a square (99225 = 3152).

The spelling of 222996996 in words is "two hundred twenty-two million, nine hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 109 114 171 218 228 327 342 436 513 654 684 981 997 1026 1308 1962 1994 2052 2071 2943 2991 3924 3988 4142 5886 5982 6213 8284 8973 11772 11964 12426 17946 18639 18943 24852 26919 35892 37278 37886 53838 55917 56829 74556 75772 107676 108673 111834 113658 170487 217346 223668 227316 326019 340974 434692 511461 652038 681948 978057 1022922 1304076 1956114 2045844 2064787 2934171 3912228 4129574 5868342 6194361 8259148 11736684 12388722 18583083 24777444 37166166 55749249 74332332 111498498 222996996